A sinusoidal transverse wave on a string has amplitude 2 cm and frequency 5 Hz. If the maximum transverse particle speed is Nπ/5 m/s, find N.
Physics · Wave Motion · question based on string wave
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Question

A sinusoidal transverse wave on a string has amplitude 2 cm and frequency 5 Hz. If the maximum transverse particle speed is Nπ/5 m/s, find N.

G1 Physics · Accepted Answer

Maximum particle speed is uₘₐₓ = Aω. Here, A = 2 cm = 0.02 m, ω = 2πf = 10π rad/s. Thus, uₘₐₓ = 0.02×10π = 0.2π m/s = π/5 m/s. Hence, N = 1.